一类数论函数的性质(Ⅱ)

数学季刊 ›› 2007, Vol. 22 ›› Issue (3): 402-405.

一类数论函数的性质(Ⅱ)

College of Mathematics and Information Sciences Henan University,College of Mathematics and Information Sciences Henan University Kaifeng 475004,China School of Mathematics and Information Sciences,Shaanxi Normal University,Xi’an 710062,China,Kaifeng 475004,China

收稿日期:2006-10-08 出版日期:2007-09-30 发布日期:2023-10-27
作者简介: LI Yi-jun(1972-), male, native of Yanshi, Henan, Ph.D., engages in analytic number theory.
基金资助:
Supported by the National Natural Science Foundation of China(10671056)

Properties of Some Kind of Number Theoretical Function (II)

College of Mathematics and Information Sciences Henan University,College of Mathematics and Information Sciences Henan University Kaifeng 475004,China School of Mathematics and Information Sciences,Shaanxi Normal University,Xi’an 710062,China,Kaifeng 475004,China

Received:2006-10-08 Online:2007-09-30 Published:2023-10-27
About author: LI Yi-jun(1972-), male, native of Yanshi, Henan, Ph.D., engages in analytic number theory.
Supported by:
Supported by the National Natural Science Foundation of China(10671056)

摘要/Abstract

摘要： For any given positive integer n≥1,the Euler function φ(n) is defined to be the number of positive integers not exceeding n,which is relatively prime to n.ω(n) is defined to be the number of different prime divisors of n.In order to know the solvability of the function of φ(φ(φ(n)))=2(ω(n)),properties of the number theoretical function φ(φ(n)) is studied in the paper.

关键词: Euler function, solutions, number of solutions, divide exactly

Abstract: For any given positive integer n≥1,the Euler function φ(n) is defined to be the number of positive integers not exceeding n,which is relatively prime to n.ω(n) is defined to be the number of different prime divisors of n.In order to know the solvability of the function of φ(φ(φ(n)))=2(ω(n)),properties of the number theoretical function φ(φ(n)) is studied in the paper.

Key words: Euler function, solutions, number of solutions, divide exactly

中图分类号:

李怡君, 刘华柯. 一类数论函数的性质(Ⅱ)[J]. 数学季刊, 2007, 22(3): 402-405.

LIYi-jun, LIU Hua-ke. Properties of Some Kind of Number Theoretical Function (II)[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(3): 402-405.

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